Question

What mirror diameter gives 0.1 arc second resolution for infrared radiation of wavelength 2 micrometers?

Answer 1

Answer:

The diameter of mirror $5\times10^{-6}\ m$

Explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

$resolution=0.25\times\dfrac{wavelength}{diameter}$

$diameter =0.25\times\dfrac{wavelength}{resolution}$

Put the value into the formula

$diameter=0.25\times\dfrac{2\times10^{-6}}{0.1}$

$diameter = 0.000005\ m$

$diameter = 5\times10^{-6}\ m$

Hence, The diameter of mirror $5\times10^{-6}\ m$